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Applications of Differential Equations in Engineering and Mechanics

Applications of Differential Equations in Engineering and Mechanics PDF Author: Kam Tim Chau
Publisher: CRC Press
ISBN: 042989435X
Category : Science
Languages : en
Pages : 805

Book Description
This second of two comprehensive reference texts on differential equations continues coverage of the essential material students they are likely to encounter in solving engineering and mechanics problems across the field - alongside a preliminary volume on theory. This book covers a very broad range of problems, including beams and columns, plates, shells, structural dynamics, catenary and cable suspension bridge, nonlinear buckling, transports and waves in fluids, geophysical fluid flows, nonlinear waves and solitons, Maxwell equations, Schrodinger equations, celestial mechanics and fracture mechanics and dynamics. The focus is on the mathematical technique for solving the differential equations involved. All readers who are concerned with and interested in engineering mechanics problems, climate change, and nanotechnology will find topics covered in this book providing valuable information and mathematics background for their multi-disciplinary research and education.

Applications of Differential Equations in Engineering and Mechanics

Applications of Differential Equations in Engineering and Mechanics PDF Author: Kam Tim Chau
Publisher: CRC Press
ISBN: 042989435X
Category : Science
Languages : en
Pages : 805

Book Description
This second of two comprehensive reference texts on differential equations continues coverage of the essential material students they are likely to encounter in solving engineering and mechanics problems across the field - alongside a preliminary volume on theory. This book covers a very broad range of problems, including beams and columns, plates, shells, structural dynamics, catenary and cable suspension bridge, nonlinear buckling, transports and waves in fluids, geophysical fluid flows, nonlinear waves and solitons, Maxwell equations, Schrodinger equations, celestial mechanics and fracture mechanics and dynamics. The focus is on the mathematical technique for solving the differential equations involved. All readers who are concerned with and interested in engineering mechanics problems, climate change, and nanotechnology will find topics covered in this book providing valuable information and mathematics background for their multi-disciplinary research and education.

Ordinary Differential Equations with Applications to Mechanics

Ordinary Differential Equations with Applications to Mechanics PDF Author: Mircea Soare
Publisher: Springer Science & Business Media
ISBN: 1402054408
Category : Mathematics
Languages : en
Pages : 497

Book Description
This interdisciplinary work creates a bridge between the mathematical and the technical disciplines by providing a strong mathematical tool. The present book is a new, English edition of the volume published in 1999. It contains many improvements, as well as new topics, using enlarged and updated references. Only ordinary differential equations and their solutions in an analytical frame were considered, leaving aside their numerical approach.

Applications of Differential Equations in Engineering and Mechanics

Applications of Differential Equations in Engineering and Mechanics PDF Author: Kam Tim Chau
Publisher: CRC Press
ISBN: 042989435X
Category : Science
Languages : en
Pages : 805

Book Description
This second of two comprehensive reference texts on differential equations continues coverage of the essential material students they are likely to encounter in solving engineering and mechanics problems across the field - alongside a preliminary volume on theory. This book covers a very broad range of problems, including beams and columns, plates, shells, structural dynamics, catenary and cable suspension bridge, nonlinear buckling, transports and waves in fluids, geophysical fluid flows, nonlinear waves and solitons, Maxwell equations, Schrodinger equations, celestial mechanics and fracture mechanics and dynamics. The focus is on the mathematical technique for solving the differential equations involved. All readers who are concerned with and interested in engineering mechanics problems, climate change, and nanotechnology will find topics covered in this book providing valuable information and mathematics background for their multi-disciplinary research and education.

Engineering Differential Equations

Engineering Differential Equations PDF Author: Bill Goodwine
Publisher: Springer Science & Business Media
ISBN: 1441979190
Category : Mathematics
Languages : en
Pages : 762

Book Description
This book is a comprehensive treatment of engineering undergraduate differential equations as well as linear vibrations and feedback control. While this material has traditionally been separated into different courses in undergraduate engineering curricula. This text provides a streamlined and efficient treatment of material normally covered in three courses. Ultimately, engineering students study mathematics in order to be able to solve problems within the engineering realm. Engineering Differential Equations: Theory and Applications guides students to approach the mathematical theory with much greater interest and enthusiasm by teaching the theory together with applications. Additionally, it includes an abundance of detailed examples. Appendices include numerous C and FORTRAN example programs. This book is intended for engineering undergraduate students, particularly aerospace and mechanical engineers and students in other disciplines concerned with mechanical systems analysis and control. Prerequisites include basic and advanced calculus with an introduction to linear algebra.

Theory of Differential Equations in Engineering and Mechanics

Theory of Differential Equations in Engineering and Mechanics PDF Author: Kam Tim Chau
Publisher: CRC Press
ISBN: 1351675621
Category : Mathematics
Languages : en
Pages : 1399

Book Description
This gives comprehensive coverage of the essential differential equations students they are likely to encounter in solving engineering and mechanics problems across the field -- alongside a more advance volume on applications. This first volume covers a very broad range of theories related to solving differential equations, mathematical preliminaries, ODE (n-th order and system of 1st order ODE in matrix form), PDE (1st order, 2nd, and higher order including wave, diffusion, potential, biharmonic equations and more). Plus more advanced topics such as Green’s function method, integral and integro-differential equations, asymptotic expansion and perturbation, calculus of variations, variational and related methods, finite difference and numerical methods. All readers who are concerned with and interested in engineering mechanics problems, climate change, and nanotechnology will find topics covered in these books providing valuable information and mathematics background for their multi-disciplinary research and education.

APPLICATIONS OF DIFFERENTIAL EQUATIONS IN ENGINEERING AND MECHANICS.

APPLICATIONS OF DIFFERENTIAL EQUATIONS IN ENGINEERING AND MECHANICS. PDF Author: K.T. CHAU
Publisher:
ISBN: 9781138746473
Category :
Languages : en
Pages :

Book Description


Differential Equations in Engineering and Mechanics

Differential Equations in Engineering and Mechanics PDF Author: Kam-tim Chau
Publisher:
ISBN: 9780367112301
Category :
Languages : en
Pages : 0

Book Description
These two volumes give comprehensive coverage of the essential differential equations students they are likely to encounter in solving engineering and mechanics problems. They cover a very broad range of theories and a very broad range of problems in statics and dynamics, focussing on the mathematical techniques for solving the equations.

Applied Engineering Analysis

Applied Engineering Analysis PDF Author: Tai-Ran Hsu
Publisher: John Wiley & Sons
ISBN: 1119071208
Category : Technology & Engineering
Languages : en
Pages : 536

Book Description
A resource book applying mathematics to solve engineering problems Applied Engineering Analysis is a concise textbookwhich demonstrates how toapply mathematics to solve engineering problems. It begins with an overview of engineering analysis and an introduction to mathematical modeling, followed by vector calculus, matrices and linear algebra, and applications of first and second order differential equations. Fourier series and Laplace transform are also covered, along with partial differential equations, numerical solutions to nonlinear and differential equations and an introduction to finite element analysis. The book also covers statistics with applications to design and statistical process controls. Drawing on the author's extensive industry and teaching experience, spanning 40 years, the book takes a pedagogical approach and includes examples, case studies and end of chapter problems. It is also accompanied by a website hosting a solutions manual and PowerPoint slides for instructors. Key features: Strong emphasis on deriving equations, not just solving given equations, for the solution of engineering problems. Examples and problems of a practical nature with illustrations to enhance student’s self-learning. Numerical methods and techniques, including finite element analysis. Includes coverage of statistical methods for probabilistic design analysis of structures and statistical process control (SPC). Applied Engineering Analysis is a resource book for engineering students and professionals to learn how to apply the mathematics experience and skills that they have already acquired to their engineering profession for innovation, problem solving, and decision making.

Partial Differential Equations in Mechanics 1

Partial Differential Equations in Mechanics 1 PDF Author: A.P.S. Selvadurai
Publisher: Springer Science & Business Media
ISBN: 9783540672838
Category : Mathematics
Languages : en
Pages : 632

Book Description
This two-volume work focuses on partial differential equations (PDEs) with important applications in mechanical and civil engineering, emphasizing mathematical correctness, analysis, and verification of solutions. The presentation involves a discussion of relevant PDE applications, its derivation, and the formulation of consistent boundary conditions.

Ordinary Differential Equations with Applications to Mechanics

Ordinary Differential Equations with Applications to Mechanics PDF Author: Mircea Soare
Publisher: Springer
ISBN: 9789048111107
Category : Mathematics
Languages : en
Pages : 488

Book Description
This interdisciplinary work creates a bridge between the mathematical and the technical disciplines by providing a strong mathematical tool. The present book is a new, English edition of the volume published in 1999. It contains many improvements, as well as new topics, using enlarged and updated references. Only ordinary differential equations and their solutions in an analytical frame were considered, leaving aside their numerical approach.